BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Jean-Pierre Gazeau (Université de Paris) DTSTART:20210930T140000Z DTEND:20210930T150000Z DTSTAMP:20260404T094503Z UID:ICTPmathseminarBNS/1 DESCRIPTION:Title: Orientations in the plane as quantum states\nby Jean -Pierre Gazeau (Université de Paris) as part of ICTP Math - Basic Notions Seminar\n\n\nAbstract\nI will introduce and discuss some of the most bas ic fundamental concepts of quantum physics by using orientations or angle s in the plane\, illustrated through linear polarisations of the light. \n Starting with the Euclidean plane\, which is certainly a paradigmatic exam ple of a Hilbert space\, the orientations in the plane are identified wit h the pure states. Associating these quantum orientations with linear pol arisations of light in the plane normal to its propagation constitutes an immediate and nice illustration of the presented formalism. Another cont ribution concerns the description of the dynamics of quantum states. The p ure states form the unit circle (actually a half of it) and the mixed stat es form the unit disk (actually a half of it). Rotations in the plane rule time evolution through Majorana-like equations involving only real quant ities for closed (Heisenberg-Dirac) and open (Lindblad) systems. Interest ing probabilistic aspects are developed. Finally\, I revisit light linea r polarisation as an example of quantum measurement through Stokes parame ters.\n\nRegister in advance for this meeting:\nhttps://zoom.us/meeting/re gister/tJUkceioqzMpGNGCvH1IR8UNevYyLmFQK82A\nAfter registering\, you will receive a confirmation email containing information about joining the meet ing.\n LOCATION:https://stable.researchseminars.org/talk/ICTPmathseminarBNS/1/ END:VEVENT BEGIN:VEVENT SUMMARY:Micah B. Milinovich (University of Mississippi) DTSTART:20221013T140000Z DTEND:20221013T150000Z DTSTAMP:20260404T094503Z UID:ICTPmathseminarBNS/2 DESCRIPTION:Title: An introduction to the Riemann Hypothesis and gaps betwe en primes\nby Micah B. Milinovich (University of Mississippi) as part of ICTP Math - Basic Notions Seminar\n\nLecture held in Luigi Stasi Semina r Room\, ICTP\, Leonardo Building.\n\nAbstract\nThere is a beautiful conne ction between the prime numbers and the zeros of Riemann zeta-function in the complex plane\, and understanding the distribution of these zeros can lead to remarkable consequences in our understanding of the primes. A famo us open problem\, known as the Riemann Hypothesis\, states that the non-re al zeros of the Riemann zeta-function lie on a vertical line. I will motiv ate this conjecture\, describe some evidence for it\, and describe some of the consequences it would lead to in our understanding of the primes. In particular\, I will describe how to bound on the maximum gap between prime numbers assuming the Riemann Hypothesis (which is based on joint work wit h Carneiro and Soundararajan).\n\nRegister in advance for this meeting:\nh ttps://zoom.us/meeting/register/tJUrdemorzkrGNzSiwZP6ruorx2JnVxwd1zm \n\nA fter registering\, you will receive a confirmation email containing inform ation about joining the meeting.\n LOCATION:https://stable.researchseminars.org/talk/ICTPmathseminarBNS/2/ END:VEVENT BEGIN:VEVENT SUMMARY:Diletta Martinelli (University of Amsterdam) DTSTART:20221209T150000Z DTEND:20221209T160000Z DTSTAMP:20260404T094503Z UID:ICTPmathseminarBNS/3 DESCRIPTION:Title: What is a Moduli Space?\nby Diletta Martinelli (Univ ersity of Amsterdam) as part of ICTP Math - Basic Notions Seminar\n\nLectu re held in for in-person attendees: Luigi Stasi Seminar Room\, ICTP\, Leon ardo Building.\n\nAbstract\nGiven a certain set of mathematical objects\, a guiding question is often the classification problem. In algebraic geome try\, the objects that you would like to classify have usually some geomet ry interests\, like for instance manifolds\, vector bundles\, algebraic cu rves. The attempt to reach a meaningful classification often leads to the construction of a moduli space: a parameter space whose points correspond to all the objects you would like to study. In the talk\, I will give a ve ry gentle introduction to the notion of parameter space focusing on elemen tary examples. If time permits\, at the end I will give some hints towards more complicated but also more interesting examples.\n\nThis is a hybrid event. In order to participate in remote\, please register through the lin k below:\nhttps://zoom.us/meeting/register/tJ0od-ihrTIjH9F3K0rVN45vAwYwC2d iqLtL\n LOCATION:https://stable.researchseminars.org/talk/ICTPmathseminarBNS/3/ END:VEVENT END:VCALENDAR